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Finding the Fourth Proportional to 506,869.33, 699,404.40 and 307,855

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Solution

The fourth proportional to 506,869.33, 699,404.40 and 307,855 is: 424,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,869.33 : 699,404.40 = 307,855 : x
  2. Step 2: Convert to fraction form
    506,869.33/699,404.40 = 307,855/x
  3. Step 3: Cross multiply
    506,869.33x = 699,404.40 × 307,855
  4. Step 4: Simplify right side
    506,869.33x = 215,315,141,562
  5. Step 5: Solve for x
    x = 215,315,141,562/506,869.33
  6. Step 6: Final answer
    x = 424,794.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.